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Abstract <p>Partition of a plane into polyominoes is a model of two-dimensional crystal structures made of molecules. A catalog and an atlas of all 3205 lattice partitions of a plane into dodecominos are created. Structural patterns of the partitions and their features in relation to molecular crystals are discussed.</p>

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Structural Classes of Lattice Partitions of a Plane into Dodecominos

  • 期刊论文

  • 发表日期：

    2025年6月16日

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  • K. G. Seravkin,
  • K. A. Potekhin,
  • A. M. Banaru

摘要

Abstract

Partition of a plane into polyominoes is a model of two-dimensional crystal structures made of molecules. A catalog and an atlas of all 3205 lattice partitions of a plane into dodecominos are created. Structural patterns of the partitions and their features in relation to molecular crystals are discussed.